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Non Calculator Tests First Year Non Calculator Tests 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 Click on a number in the table above to go to the test of your choice. The solutions follow after the test Non Calculator – Test 1 1. How many Mars Bars costing 12p each can you buy for ₤5? 2. A boy saves ₤3 per week for 52 weeks to buy the camera he wants. How much does the camera cost? 3. How many minutes are there in 3¼ hours? 4. Simplify the expression 3x + 4y + 2x – 4y 5. An equilateral triangle has a side of length 13.8cm. Find the perimeter of the triangle. 6. Evaluate 34 – 62 + 49 7. Find ½ of £4642 8. Solve the equation x – 13 = 25 1 11 3 9. Which of these fractions is the largest , , 2 20 8 10. What is the value of x in the diagram shown? x 74° Question 1 2 Solutions -Test 1 41 Mars Bars ₤156 3 4 5 195 minutes 5x 41.4 cm 6 7 8 21 ₤2321 38 9 10 11/20 106° Non Calculator – Test 2 1. Solve the equation 2x = 13 2. Simplify the expression 8x + 5 + 5x – 3 3. What is the size of the acute angle between the hands of a clock at 1pm? 4. Find the size of angle x. x 53º 5. How many minutes are there in 6½ hours ? 6. Evaluate 34 56 7. In a recent election Mr. Smith got 23845 votes while Mr. Black got 18958 votes. How many votes did Mr. Smith win by? 8. Calculate the perimeter of the rectangle shown in the diagram. 3.7cm 9. Subtract 6.34 from 9.12 10. Evaluate 13 + 7 4 6.5cm Question 1 2 Solutions – Test 2 x = 6.5 13x + 2 3 4 5 30° 37° 390 minutes 6 7 8 1904 Won by 4887 votes. 20.4 cm 9 10 2.78 41 Non Calculator – Test 3 1. What is the size of the smaller angle between the hands of a clock at 4pm? 2. At the start of the day the mileage of the car stood at 23185. By the end of the day it had gone up to 23912. How many miles have been done in that day? 3. Calculate the size of angle x in the diagram shown. 107 x ° 4. How many degrees are in 5 complete turns? 5. Solve the equation 31 – x = 17 6. Find 3 of 80 4 7. Simplify the expression 3x2 – 5x2 + 8x2 8. How many metres are there in 4¼ kilometers? 9. How many days are there between 8th August and 9th September inclusive? 10. Evaluate 20 – 3 4 Question 1 2 Solutions – Test 3 120° 727 miles 3 4 5 163° 1800° x = 14 6 7 8 60 6x2 4250 metres 9 10 33 days 8 Non Calculator -Test 4 1. Write down the next three terms in the sequence 12 , 25 , 38 , 51 , - , - , - , - , 2. If ½ of a sum of money is ₤26, find the sum of money. 3. A box of chocolate costs £5.72 How much change do I get from a ₤10 note? 4. Find the size of angle x 48° x 43° 5. How many seconds are there in 8¾ minutes? 6. Evaluate 252 7. Name the angle shown with A the black dot in the diagram. C 8. Evaluate 33.8 – 24.9 + 23.4 9. Find ¼ of ₤25 D E 10. How many minutes are there between 3.37pm and 5.17pm? B Question 1 2 Solutions – Test 4 64 , 77 , 90 ₤52 3 4 5 ₤4.28 89° 525 minutes 6 7 8 625 DAC 32.3 9 10 ₤6.25 100 minutes Non Calculator – Test 5 1. How many pieces of wire 25cm long can you cut from a piece 8 metres long? 2. A girl saves ₤5 per week so that she can buy the computer she wants. If the computer costs ₤1600 how many weeks will she need to save her money? 3. How many minutes are there in a day? 4. Simplify the expression 12x - 7y + 2x – 5y 5. Find the perimeter of the triangle shown. 4.4cm 3.8cm 3.1cm 6. Evaluate 122 – 52 7. A thermometer measures the temperature of a liquid to be 34°C. If the temperature drops by 40°, what is the temperature of the liquid now? 8. Solve the equation 2x – 3 = 10 9. Which of these fractions is the smallest 1 , 1 , 1 4 3 5 10. Find the values of x and y in the sequence shown. 3 , 7.5 , 12 , x , y , 25.5 , 30 , - , - , Question 1 2 Solutions – Test 5 32 pieces 320 weeks 3 4 5 1440 minutes 14x – 12y 11.3 cm 6 7 8 119 -6°C x = 6.5 9 10 1/5 16.5 and 21 Non Calculator – Test 6 1. A sequence of numbers begins 5 , 8 , 11 , 14 , - - Is the number 90 a member of this sequence? 2. A total of 1400 people visited the attraction shown over a period of 5 days during the summer. How many people on average visited the monument each day? 3. Tickets for the theatre cost ₤8 for adults and ₤5.50 for children What would it cost for 4 adults and 5 children to attend the theatre? 4. How many degrees are in ¾ of a complete turn? 5. Solve the equation 4x + 3 = 19 6. How many millimeters are in 4¾ centimeters? 7. The following result occurred in a local election. By how many votes did Name Votes Mr. Thomas win the election? 8. If x = 10, find the value of 5x – 7 9. Simplify the expression 8x – 3y + 5x + 3y 10. Evaluate 25 – 13 – 4.5 Mr. Thomas 45895 Mrs. Jones 37563 Mr. Peacock 8994 Question 1 2 Solutions – Test 6 No Average of 280 people per day. 3 4 5 ₤59.50 270° x=4 6 7 8 47.5mm 8332 votes. 43 9 10 13x 7.5 Non Calculator – Test 7 1. How many textbooks costing ₤6 each can you buy for ₤500? 2. A ship is sailing East. It then turns through 135° anticlockwise. In what direction is it now sailing? 3. Simplify the expression 2x + 2x + 2x + 2x + 2x 4. Write down the next three terms of the sequence 2 , 6 , 18 , 54 , - , - , 5. Write 8% as a fraction in its simplest form. 6. Evaluate 23 – 18 – 5 7. Subtract ₤9.56 from ₤12.23 8. Solve the equation 4x + 7 = 27 9. A typist can type about 12000 words per day. If she works an 8 hour day, how many words does she type an hour on average? 10. An equilateral triangle has a perimeter of 48cm. Find the length of a side. Question 1 2 Solutions – Test 7 83 books North West 3 4 5 10x 162 , 486 , 1458 2/25 6 7 8 0 ₤2.67 x=5 9 10 1500 words per hour. 16cm Non Calculator – Test 8 1. Write down the next three terms in the sequence 85 , 79 , 73 , 67 , - , - , 2. If ¼ pound of cheese cost £0.84, what would 1 pound of cheese cost? 3. Calculate the size of angle x in the diagram shown. 2x x 4. How many minutes are there in 5½ hours? 5. Solve the equation 23 = 2x + 3 6. Evaluate 63 7. Write ¾ as a decimal fraction. 8. Evaluate 2.5 2 + 4.5 9. How many days are there between 3rd April and 3rd June inclusive? 10. A television set costs £845. It is sold in a sale for half price. What is the sale price? Question 1 2 3 4 5 6 7 8 9 10 Solutions – Test 8 61 , 55 , 49 ₤3.36 60° 330 minutes x = 10 216 0.75 9.5 61 days ₤422.50 Non Calculator – Test 9 1. Solve the equation 8x = 56 2. Simplify the expression 8x – 5t + 5t – 3x 3. What is the size of the acute angle between the hands of a clock at 5pm? 4. A television program started at 7.45pm and finished at 10.20pm. How long did the program last? Give your answer in minutes. 5. A ship is sailing at 12mph. How far will the ship sail in 3½ hours? 6. Evaluate 12.7 – 5.8 7. Find the value of x in the sequence shown 100 , 50 , 25 , 12.5 , x , - - - - - 8. The perimeter of the rectangle shown in the diagram is 20cm. Find the breadth. 7.5cm 9. A man puts £2500 in the bank every year for the next 20 years. How much will he have in the account at the end of the twenty years? 10. A square has an area of 81 cm2. Find the perimeter of the square. Question 1 2 Solutions – Test 9 x=7 5x 3 4 5 150° 155 minutes 42miles 6 7 8 6.9 6·25 2.5cm 9 10 ₤50000 36cm Non Calculator – Test 10 1. 2. 3. 4. Find 1% of £64000. Simplify the expression 20x – 4x – x – 7x If x = 12, find the value of x2 + 10 If ¾ of a sum of money is £60, find the sum of money. 5. The temperature of a liquid is 38°C. If the temperature rises by 1½°C every minute, what would the temperature be in 30 minutes time? 6. Evaluate 12.5 + 12.5 + 12.5 + 12.5 7. Find the values of x and y in the sequence below 2.9 , 4.5 , 6.1 , x , y , 10.9 , - , - , 8. Solve the equation 5x + 2 = 62 9. A hitch hiker can walk 23 miles in a day. How far will he walk in a fortnight if he does this mileage every day? 10. Which is the largest 3 0.61 , 62% , 5 Question 1 2 Solutions – Test 10 ₤640 8x 3 4 5 154 ₤80 83°C 6 7 8 50 x = 7·7 , y = 9·3 x = 12 9 10 322 miles 62% is the largest. Non Calculator – Test 11 1. How many years passed between the birth of Shakespeare and the first man setting foot on the moon? First man on the moon – 1969 Columbus discovers America – 1492 Battle of Bannockburn – 1314 Shakespeare born – 1564 2. A ship is sailing North East. It then turns through 180°. In what direction is it now sailing? 3. Solve the equation 5 + 3x = 32 4. Write down the next three terms of the sequence 1 , 8 , 27 , 64 , - , - , 5. If sunrise is at 7.30am and sunset is at 6.10pm, how many hours of daylight will you get? 6. If 4 bottles of wine cost £26, what would 1 bottle cost? 7. If 2nd August is on a Monday, on what day of the week will 2nd September fall? 8. A train should arrive at Dundee station at 4.32pm. The train is running 56 minutes late. When will the train be expected to arrive? 9. Evaluate 200 500 10. The populations of Scottish cities are shown in the table Aberdeen – 194583 Dundee – 174586 Edinburgh – 429467 Glasgow – 779346 By how many does the population of Glasgow exceed that of Dundee? Question 1 2 Solutions – Test 11 405 years. South West 3 4 5 x=9 125 , 216 , 343 10 hours 40 minutes 6 7 8 ₤6.50 Thursday 5.28pm 9 10 100000 604760 Non Calculator – Test 12 1. How many pencils costing 15p each can you buy for ₤5? 2. A ship is sailing East at 24mph. How far will it sail in a day? ( 1 day = 24 hours) 3. Estimate the size of this angle. Do not use a protractor. If you are within 10° you will be marked correct. 4. Simplify 4x – y + 4x + y 5. Write 10% as a decimal fraction. 6. Newspapers cost 24p each. If I buy one every day of the week for 40 weeks, what would be the total cost of the papers ? 7. The box shown can hold 3½ litres. What volume of milk would be in the box if it was half full? Give your answer in cubic centimeters. 3½ 8. Solve the equation 9x = 72 9. Write 7 as a decimal. Litres 10 10. A man travels from Edinburgh to Glasgow and back every day for a week. If the distance between Edinburgh and Glasgow is 43 miles, how far has he actually travelled during the week. Question 1 2 Solutions – Test 12 33 pencils 576 miles 3 4 5 147° 8x 0·1 6 7 8 ₤67·20 1750cm3 x=8 9 10 0·7 602 miles Non Calculator – Test 13 1. Write down the next three terms in the sequence 113 , 101 , 89 , 77 , - , - , - , - , 2. If ¼ of a sum of money is ₤68, find the sum of money. 3. Simplify the expression 4t + 5 – 4t – 5 4. Find the size of angle x 92 x° x° 5. How many seconds are there in 12½ minutes? 6. Evaluate 152 7. Name the angle shown with the black dot in the diagram below. A B 8. Find the sum when the quantities in the boxes are added together. C D Sum 3x + 2 5x + 4 E x+5 9. Evaluate 34 – 47 + 14 10. How many days are there between 24th December and 1st February inclusive? Question 1 2 Solutions – Test 13 65 , 53 , 41 ₤272 3 4 5 0 44° 750 seconds 6 7 8 225 BAC or CAB 9x + 11 9 10 1 39 days Non Calculator – Test 14 1. Find the sum of the first 10 whole numbers. 2. A man earns £8.50 per hour. How much will he earn if he works a 40 hour week? 3. I have 1286 fifty pence coins in my piggy bank. How much money do I have? 4. Estimate the size of the angle in the diagram. Do not use a protractor. If you are within 5 degrees you will be marked correct. 5. A rectangle has a length of 17cm. If the perimeter is 50cm, calculate the breadth of the rectangle. 6. Evaluate 23 32 1 2 3 4 5 6 x 7. Copy and complete the table. 2x + 6 8 8. Solve the equation 8x = 4 9. Put these in order of size 3 22 , 2 32 , 2 3 4 10. School starts at 1.40pm in the afternoon and finishes at 3.55pm. How many minutes is this? Question 1 2 Solutions – Test 14 Sum = 55 ₤340 3 4 5 ₤643 53° 8cm 6 7 8 736 10,12,14,16,18 x = 1/2 9 10 Their values are 12 , 18 , 24 135 minutes. Non Calculator – Test 15 1. I have some 5p coins and some 2p coins in a box. The coins total 33p. There are more 5p coins than 2p coins. What could I have in the box? List all the possibilities. 2. The mileage of a car is 126400 miles. The car is 20 years old. What is the average mileage per year? 3. Calculate the size of angle x in the diagram shown. 146° x° 4. Find ½ of 4.14 5. Solve the equation 2x + 3 = x + 14 6. Buses come every 25 minutes. The first bus in the morning comes at 7am. When is the first bus after 9am? 7. Simplify the expression 3y2 – 6y2 + 10y2 8. How many centimetres are there in 8¾ meters? 9. The angles in a triangle are x°, 74°and 43°. Find the value of x. 10. Evaluate 8.3 – 3.8 Question 1 2 Solutions – Test 15 5 of 5p and 4 of 2p 6320 miles per year. 3 4 5 124° 2·07 x = 11 6 7 8 9.05am 7y2 875cm 9 10 x = 67° 4·5 Non Calculator – Test 16 1. A lottery win of ₤12,500,000 has to be shared between 5 people. What share will each of the winners get? 2. If ½ pint of milk cost £0.24, what would 4 pints of milk cost? 3. Calculate the size of angle x in the diagram shown. 3x 75° 4. A train leaves Dundee at 1.47pm and arrives in Edinburgh at 3.05pm. How long did the journey take? 5. Solve the equation 2x = 33 6. Evaluate 23 – 22 7. A pupil scored 43 in a Chemistry exam. What is his percentage mark? 50 8. Evaluate 8.1 + 1.9 2 9. A cup of tea and a biscuit costs 88p. If the tea costs 16p more than the biscuit how much did each cost? 10. A camera costs £440. It is sold in a sale with a discount of ¼ of the cost price. What is the sale price? Question 1 2 Solutions – Test 16 ₤2,500,000 each. ₤1·92 3 4 5 x = 35° 78 minutes x = 16.5 6 7 8 4 86% 11·9 9 10 52p and 36p ₤330 Non Calculator – Test 17 1. A sequence of numbers begins 13 , 28 , 43 , 58 , - - List the next four numbers in the sequence. 2. A total of 4200 people visited Edinburgh Zoo in the last fortnight. How many people on average visited the zoo each day? 3. Tickets for the ‘Snow Queen’ at the theatre cost ₤12.50 for adults and ₤8.50 for children. What would it cost for 2 adults and 3 children to attend the theatre? 4. A ship is sailing in a South Westerly direction. It turns anticlockwise and sails South. Through how many degrees has the ship turned? 5. Simplify the expression 13t + 7t – 5t – 12t Name 6. How many minutes are in 6¼ hours? Steps 7. The following poll result occurred in a pop group poll By how many votes did Atomic Kitten win the contest? Destiny Atomic Kitten Votes 54890 53490 68356 8. If x = 10, find the value of 25 – 2x 9. A bus runs every 45 minutes from 7am in the morning to 4pm at night. If the first bus is at 7am, how many buses will actually run during the day? 10. The perimeter of a square is 14cm. Find the area of the square. Question 1 2 Solutions – Test 17 73 , 88 , 103 300 people per day. 3 4 5 ₤50·50 45° 3t 6 7 8 375 minutes 13466 votes 5 9 10 13 buses 12.25 Non Calculator – Test 18 1. Solve the equation x2 = 64 2. Simplify the expression 5y + 4x – x – y 3. Add the quantities in the 3 boxes to get the sum for the top box. Sum x+6 x-4 4x 4. A television program started at 8.45pm. The program lasted 1 hour and 25 minutes? When did the program end? 5. Copy and complete the table 1 2 3 4 5 6 x 3x - 2 1 6. Evaluate 3.4 + 4.5 – 7 7. Find the value of x in the sequence shown 500 , 465 , 430 , 395 , x , - - - - - 8. Calculate the area of the rectangle shown in the diagram. 4cm 6.5cm 9. A man puts £3000 in the bank. If the bank gives him 10% interest at the end of the year, how much money will he have in his account? 10. A square has a perimeter of 40 cm. Find the area of the square. Question 1 2 Solutions – Test 18 x=8 4y + 3x 3 4 5 6x + 2 10.10pm 1 , 4 , 7 , 10 , 13 , 16 6 7 8 0·9 360 26cm2 9 10 ₤3300 100cm Non Calculator – Test 19 1. If x = 7, find the value of 6x + 13 2. Estimate the size of the angle in the diagram below. If you are within 5° of it you will be marked correct. ( no protractors) 3. A man leaves for work at 7.45am and returns home at 5.15pm How long has he spent away from home? 4. Solve the equation 5x + 4 = 2x + 19 5. Find the value of 102 – 4 20 6. The area of a rectangle is 80cm2. If the breadth is 5cm, find the length of the rectangle. 5 7. Which of these numbers is the largest or 1.67? 3 8. Find the next three terms of the sequence shown 4 , 5 , 9 , 14 , 23 , 37 , - , - , - , 9. How many days are there in total in the first three months of the year? 10. The battle of Hastings was fought in 1066. How many years ago was that? Question 1 2 Solutions – Test 19 55 109° 3 4 5 9 hours 30 minutes x=5 20 6 7 8 16cm 1.67 60 , 97 , 157. 9 10 90 days 937 years Non Calculator – Test 20 1. How many years passed between Columbus discovering America and the first man setting foot on the moon? First man on the moon – 1969 Battle of Bannockburn – 1314 Columbus discovers America – 1492 Shakespeare born – 1564 2. 3. 4. 5. Simplify the expression 3xy + 7xy - 9xy A first class stamp costs 25p. How many can you buy for ₤10? Write down the next three terms of the sequence 5 , 15 , 45 , 135 , - , - , If sunrise is at 7.45am and you get 8½ hours of daylight at what time will the sun set? 6. If 6 calculators cost £51, what would 1 calculator cost? 7. If y = 2.5, find the value of y2 + 2.5 8. Copy and complete the table shown below x x2 1 1 2 3 4 5 6 9. Evaluate 250 16 10. The angles of a triangle are x, x and 78°. Find the value of x. Question 1 2 Solutions – Test 20 477 years. xy 3 4 5 40 stamps 405 , 1215 , 3645 4.15pm 6 7 8 ₤8.50 8·75 1,4,9,16,25,36 9 10 4000 51° Non Calculator – Test 21 1. Write down the next three terms in the sequence 4 , 6 , 9 , 13.5 , - , - , - , - , 1 2. If of a sum of money is ₤34, find the sum of money. 5 3. If 8 pencils cost ₤1.12, what would 5 pencils cost? 4. Find the size of angle x 52° 89° x° 5. How many minutes are there in 7¾ hours? 6. If t = 5 and m = 4, find the value of 4t – 5m A 7. Name the angle shown with the black dot in the diagram. B C 8. Find the sum of the quantities 3x + 7, 2x – 6 and x + 9 D E 9. Evaluate 25 – 20 0.5 10. An apple tree and a pear tree together cost £75. If the apple tree cost £12 more than the pear tree, how much did each cost? Question 1 2 Solutions – Test 21 20·25 , 30·375 , 45·5625 ₤170 3 4 5 70p 39° 465 minutes 6 7 8 0 EAD or DAE 6x + 10 9 10 5 ₤31·50 and ₤43·50 Non Calculator – Test 22 1. A car journey goes from A→B→C→D→E. Find the total length of the trip in kilometers. 2. A ship is sailing North West. It then turns through 45°in an anticlockwise direction. In what direction is it now sailing? 3. If p = 9 and q = 7, find the value of p2 + q2. 4. A sum of money has just been divided between 12 people and each person got ₤2450. What was the original sum of money? 5. Write 3 as a percentage. 5 6. An aero plane ticket to London costs ₤70 return. A businessman makes this trip once a week for a year. How much does this cost him for the year? 7. Simplify the expression 5t + 4 - 4t + 4 8. Solve the equation 6x = x + 30 9. Evaluate 23.6 + 3.4 – 29.8 10. Write 0.4 as a fraction in its simplest form. Question 1 2 Solutions – Test 22 9.3 km West 3 4 5 130 ₤29400 60% 6 7 8 ₤3640 t+8 x=6 9 10 -2.8 2/5 Non Calculator – Test 23 1. Find 1 2 % of £1000. 2. Simplify the expression 6y -7y + 2y 3. If x = 0.5, find the value of 12x + 5 4. A Doctor earns £60000 per annum. What is his monthly salary? 5. The temperature of a liquid is -10°C. If the temperature rises by 4°C every minute, what would the temperature of the liquid be in 10 minutes time? 6. Evaluate 3.5 1000 7. Find the values of x and y in the sequence below x , y , 26 , 39 , 52 , 65 , 78 , 91 , - , 8. Solve the equation 2x – 4 = x + 6 9. Find ¼ of £6. 10. Which is the largest 0.9998 , 0.999999 , or 1 Question 1 2 Solutions – Test 23 ₤5 y 3 4 5 11 ₤5000 30°C 6 7 8 350 0 and 13 x = 10 9 10 ₤1.50 1 Non Calculator – Test 24 Question 1 2 Solutions – Test 24 250 , 1250 , 6250 x 3 4 5 8312 metres 32 80% 6 7 8 (-4,-3) 54cm2 x=5 9 10 22cm2 - Non Calculator – Test 25 1. Simplify the expression 4y – 5t – 3t – 4y 2. A girl saves ₤3 per week so that she can buy the camera which she wants. If the camera costs ₤165, how many weeks will she need to save her money? 3. How many days are there between 23rd March and 1st June inclusive? 4. Solve the equation 4x – 0.5 = x + 2.5 5. Find the area of the triangle shown. 3cm 6. Evaluate 202 – 152 3.1cm 7. A thermometer measures the temperature of a liquid to be 134°C. If the temperature drops by 19° every hour, what will the temperature be in 5 hours time? 8. A square has an area of 121cm2. Find the area of the square whose sides are twice the length of this square. 9. Which of these is the smallest 0.24 , 25% or 2 7 10. Find the value of x in the sequence shown. 5 , 7.8 , 10.6 , 13.4 , x, - , - Question 1 2 Solutions – Test 25 -8t 55 weeks 3 4 5 71 days x=1 4·65cm2 6 7 8 175 39°C 484cm2 9 10 0·24 is the smallest 16·2 Non Calculator – Test 26 1. Solve the equation 4x = 7 2. Simplify the expression 8 + 5t - 5t – 7 – 1 3. What is the size of the acute angle between the hands of a clock at 1.30pm? 4. A television program started at 2.45pm and finished at 4.25pm. How long did the program last? Give your answer in minutes. 5. A ship is sailing in a NNE direction. It turns and sails South? Through what angle has the ship turned? 6. Evaluate 13.3 – 5.6 – 6.5 7. Evaluate 63 8. Write 45% as a fraction in its simplest form. 9. A television costs ₤450. In a sale a deduction of 20% is given. What is the sale price of the television? Question 1 2 Solutions – Test 26 x = 1·75 0 3 4 5 135° 100 minutes 157½° 6 7 8 1·2 216 9/20 9 10 ₤360 - Non Calculator – Test 27 1. Write down the next three terms in the sequence 34 , 31.5 , 29 , 26.5 , - , - , - , - , 2. If 1 of a sum of money is ₤48, find the sum of money. 5 3. Three of the angles in a quadrilateral are 124°, 87° and 135°. Find the size of the fourth angle? 4. If x = 4 and y = 5, find the value of 10x – 7y. 5. Biscuits cost ₤1.40 per packet. How many packets can you buy for ₤10? 6. Evaluate 352 7. Evaluate 2.5 8 8. How many hours are there in a fortnight? 2 of ₤350 5 10. A program starts at 9.15pm. It lasts for 2 hours and 50 minutes. When does the program end? 9. Find Question 1 2 Solutions – Test 27 24 , 21·5 , 19 ₤240 3 4 5 14° 5 7 packets 6 7 8 1225 20 336 hours 9 10 ₤140 12.05am Non Calculator – Test 28 1. Solve the equation 4x = 3 2. Simplify the expression x - 5 + 5x + 6 3. Find the sum of the three terms in the boxes. Sum 3x + 3 4x + 7 5x - 2 4. A car costs ₤13500. A discount of 25% is given in a sale. Find the sale price of the car. 5. If a case of 6 bottles of wine cost ₤50.40, what would 1 bottle of wine cost? 6. Evaluate 240 500 7. In a recent election Mr. Brown got 45689 votes while Mr. Green got 54692 votes. How many votes did Mr. Brown lose by? x 8. Copy and complete the table shown 3 1 2 x +10 11 9. If x = 4, y = 6 and t = 1 , find the value of xy – 2 10. Evaluate 8.2 + 1.8 2 t y 3 4 5 6 Question 1 2 Solutions – Test 28 x = 0·75 6x + 1 3 4 5 12x + 8 ₤10125 ₤8·40 6 7 8 120000 9003 votes 11,18,37,74,135,226 9 10 21 11·8 Non Calculator – Test 29 1. What is the size of the smaller angle between the hands of a clock at 5.30pm? 2. At the start of a week the mileage of a car stood at 24590 miles. By the end of the week it had gone up to 25584 miles. How many miles on average have been covered per day? 3. Solve the equation 1 x 14 4 1 4. How many degrees are in 3 complete turns? 2 5. Simplify the expression 30 + 12x - 20 – 5x 6. Find 7 of 2100 10 7. An apple and an orange cost 23p while an apple and two oranges cost 34p.Find the cost of an apple? 8. Express 24000000cm3 in litres. 9. Trains to Glasgow run every 45 minutes. The first train of the day is at 7.50am. When is the first train after midday? 10. Evaluate 33.9 – 44.2 + 14.8 Question 1 2 Solutions – Test 29 15° 142 miles per day. 3 4 5 x = 56 1260° 7x + 10 6 7 8 1470 apple = 12p 24000 litres. 9 10 12.10pm 4·5 Non Calculator – Test 30 1. Find 2% of £45000. 2. A train travels at 60 mph. How long would it take to complete a journey of 450 miles? 3. If x = 25, find the value of x2 – 600 4. If ¼ of a sum of money is £890, find the sum of money. 5. The temperature of a liquid is 24°C. If the temperature rises by 2½°C every minute, what would the temperature be in one hour? 6. Evaluate 12.5 + 6.25 – 8.75 7. Simplify the expression 5x2 – 8x2 + 4x2 8. Solve the equation 5x = 22 + x 9. A hitch hiker can walk 13 miles in a day. How far will he walk in a fortnight if he does this mileage every day? 10. Find 5% of ₤8000 Question 1 2 Solutions – Test 30 ₤900 7½ hours 3 4 5 25 ₤3560 174°C 6 7 8 10 x2 x = 5·5 9 10 182 miles ₤400 Non Calculator – Test 31 1. How many textbooks costing ₤4.50 each can you buy with ₤50? 2. A ship is sailing South East. It then turns through 180°. In what direction is it now sailing? 3. Simplify the expression 5xy – 4xy + 2xy 4. Write down the next two terms of the sequence 1 , 4 , 16 , 64 , - , - , 5. Write 12% as a fraction in its simplest form. 6. A hexagon has a perimeter of 45cm. Calculate the length of a side. 7. Subtract ₤6.78 from ₤12 8. Solve the equation 4x + 7 = 27 + 2x 9. A man works for 40 hours a week. His wage is ₤12.50 per hour. How much does he earn in a week? 10. Evaluate 23 – 25.6 + 6.3 Question 1 2 Solutions – Test 31 11 books North West 3 4 5 3xy 256 and 1024 3/25 6 7 8 7·5cm ₤5·22 x = 10 9 10 ₤500 3·7 Non Calculator – Test 32 1. How many years passed between the battle of Hastings and the Great fire of London? Battle of Hastings – 1314 Great Fire of London – 1607 2. How many days are there between 5th May and 7th September inclusive? 3. Solve the equation 1 + 3x = 3 + 2x 4. A caravan costs ₤18000. In a sale a discount of 10% is given. Calculate the sale price of the caravan. 3 5. Find of 36 4 6. Write 0.45 as a fraction in its simplest form. 7. Pencils cost 12p each. How many can you buy for ₤10? 8. A bus should arrive at Dundee city centre at 4.47pm. The bus is running 28 minutes late. When will the bus be expected to arrive? 9. Evaluate 600 500 10. There are 15 spokes on a bicycle wheel. What is the size of the angle between any two spokes? Question 1 2 Solutions – Test 32 293 years 126 days 3 4 5 x=2 ₤16200 27 6 7 8 9/20 83 pencils 5.15pm 9 10 300000 24° Non Calculator – Test 33 1. Find the average of the numbers 3.8 , 4.2 , 3.6 , 4.4 2. I have ₤280000 in my bank account. The bank gives me 2% interest for the year. Calculate the interest. 5 3. One kilometer is approximately of a mile. 8 How many miles are there approximately in 400 kilometers? 4. Find the size of angle x x° 95 x° 5.The prices of train tickets are shown below for a trip from Dundee to London……. Adult ₤56.95 Child ₤25.9 What would it cost for a party consisting of 3 adults and 5 children? 6. Evaluate 302 - 202 7. Name the angle shown with the black dot in the diagram . C 8. Find the sum when the quantities in the boxes are added together. 1 + 4x A Sum 6x 7 – 5x 9. Evaluate 123.7 – 145.8 + 33.4 10. A television program lasts 2hrs 45mins. If the program is to finish at 6.35pm, when should it start? B D Question 1 2 Solutions – Test 33 4 ₤5600 3 4 5 250 miles 42.5° ₤300.60 6 7 8 500 CDA or ADC 5x + 8 9 10 11.3 9.20pm Non Calculator – Test 34 1. I have 84 five pence coins and some 126 two pence coins in a box. What is the total value of the coins? 2. Simplify the expression 13x – 8x + 5x – 9x 3. Calculate the size of angle x in the diagram shown. 165° x° 4. Write 0.15 as a fraction in its simplest form. 5. Solve the equation 12x = x + 66 6. Buses come every 25 minutes. The first bus in the morning comes at 8am. When is the first bus after 10am? 7. Evaluate 200 200 1 8. How many cm3 are there in 4 litres? 2 9. The angles in a triangle are x°, 2x°and 36°. Find the value of x. Question 1 2 Solutions – Test 34 ₤6·72 x 3 4 5 105° 3/20 x=6 6 7 8 10.05am 40000 4500cm3 9 10 x = 48° - Non Calculator – Test 35 1. A lottery win of ₤1,000,000 has to be shared between 25 people. What share will each of the winners get? 2. If ½ pound of cheese cost £1.48, 1 what would 3 pounds cost? 2 3. Calculate the size of angle x in the diagram shown. 5x 65° 4. A train leaves Aberdeen at 1.45pm and arrives in Edinburgh at 4.36pm. How long did the journey take? 5. Solve the equation 10x - 3 = 37 6. Evaluate 53 – 52 7. A pupil scored 18 in a Chemistry exam. What is his percentage mark? 25 8. Evaluate 5.6 – 3.4 + 6.2 – 5.9 9. Simplify the expression 8x2 – 5x2 + x2 10. A bicycle costs £240. It is sold in a sale with a discount of 20% of the cost price. What is the sale price of the bicycle? Question 1 2 Solutions – Test 35 ₤40000 ₤10·36 3 4 5 23° 2 hours 51 minutes x=4 6 7 8 100 72% 2·5 9 10 4x2 ₤192 Non Calculator – Test 36 1. Find the sum of the first 4 non zero multiples of 7. 2. A man earns £12.50 per hour. How much will he earn if he works a 30 hour week? 3. Solve the equation 7x – 5 = 3x + 1 4. Estimate the size of the angle in the diagram. Do not use a protractor. If you are within 5 degrees you will be marked correct. 5. A rectangle has a length of 4.5cm. If the perimeter is 16cm, calculate the breadth of the rectangle. 6. Evaluate 142 1 2 3 4 5 6 x 7. Copy and complete the table. 5x + 3 8 8. Evaluate 3.8 – 4.2 – 3.6 + 5.9 9. Find 4% of 600 Question 1 2 Solutions – Test 36 70 ₤375 3 4 5 x = 1·5 112° Breadth = 3.5cm 6 7 8 196 8,13,18,23,28,33 1·9 9 10 24 -